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3 years ago

3(1 – 2x) > 3 – 6x For x

Mathematics

2 answers:

tatuchka [14]3 years ago

6 0

Answer:

the statement is false for any value of x

Step-by-step explanation:

Marianna [84]3 years ago

6 0

Answer:

$\boxed{ x < 0}$

Step-by-step explanation:

$if \to : \\ 3(1 – 2x) > 3 – 6x \\ then \to : \\ 3(1 – 2x) > 3 – 6x = \\ 3 - 6x > 3 - 6x = \\ - 3 + 3 > - 6x + 6x \\ 0 > x( -6 + 6) \\ 0 > x(0) \\ x < \frac{0}{0} \\ \boxed{ x < 0}$

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In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest inch.

dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

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Using angle sum property, we get

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$59^\circ+m\angle I=180^\circ$

$m\angle I=180^\circ-59^\circ$

$m\angle I=121^\circ$

According to Law of sines,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Using Law of sines, we get

$\dfrac{h}{\sin H}=\dfrac{i}{\sin I}$

$\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}$

$\dfrac{300}{0.4848}=\dfrac{i}{0.8572}$

Multiply both sides by 0.8572.

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3 years ago

Let f(x)=(8x^4-3)^3 and g(x)=8x^4-3 given that f(x)=(h g)(x) , find h(x)

Harman [31]

Answer:

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Step-by-step explanation:

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$g(x) =(8 \times x^{4}- 3)$ -------------(2) (given)

so,

f(x) = h(g(x)) (given)

= $(g(x))^{3}$ -----(from (1) and (2))

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Answer:

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